Switching back and forth between tabs on mxpi to search for apps is very easy.

The only thing that would add to user experience is, that search field entry would keep entered text during switching tabs

OK, I changed that, can you please give it a test and see if it works as you wish? (going to the Output tab does reset the search field -- I think it makes sense to show all packages after you install/remove something instead of just showing the package that you searched for).